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DLMF:10.21.E39 - MaRDI portal
Statements
Y
ν
(
y
ν
,
m
′
)
∼
(
-
1
)
m
-
1
(
2
/
ν
)
1
3
π
N
(
b
m
′
)
∑
k
=
0
∞
β
k
′
ν
2
k
/
3
.
asymptotic-expansion
Bessel-Y-Weber
𝜈
diffop
zero-Bessel-Y-Weber
𝜈
𝑚
1
superscript
1
𝑚
1
superscript
2
𝜈
1
3
𝜋
modulus-Airy-N
zero-derivative-Airy-Bi
𝑚
superscript
subscript
𝑘
0
subscript
superscript
𝛽
′
𝑘
superscript
𝜈
2
𝑘
3
{\displaystyle{\displaystyle Y_{\nu}\left(y_{\nu,m}'\right)\sim(-1)^{m-1}\frac%
{(2/\nu)^{\frac{1}{3}}}{\pi N\left(b^{\prime}_{m}\right)}\sum_{k=0}^{\infty}%
\frac{\beta^{\prime}_{k}}{\nu^{2k/3}}.}}
Y
ν
(
z
)
Bessel-Y-Weber
𝜈
𝑧
{\displaystyle{\displaystyle Y_{\NVar{\nu}}\left(\NVar{z}\right)}}
∼
asymptotic-expansion
{\displaystyle{\displaystyle\sim}}
π
{\displaystyle{\displaystyle\pi}}
N
(
z
)
modulus-Airy-N
𝑧
{\displaystyle{\displaystyle N\left(\NVar{z}\right)}}
y
ν
,
m
zero-Bessel-Y-Weber
𝜈
𝑚
{\displaystyle{\displaystyle y_{\NVar{\nu},\NVar{m}}}}
b
k
′
zero-derivative-Airy-Bi
𝑘
{\displaystyle{\displaystyle b^{\prime}_{\NVar{k}}}}
m
𝑚
{\displaystyle{\displaystyle m}}
k
𝑘
{\displaystyle{\displaystyle k}}
ν
𝜈
{\displaystyle{\displaystyle\nu}}
β
𝛽
{\displaystyle{\displaystyle\beta}}
Identifiers